Answer:
Given a function f ( x ) \displaystyle f\left(x\right) f(x), a new function g ( x ) = − f ( x ) \displaystyle g\left(x\ right)=-f\left(x\right) g(x)=−f(x) is a vertical reflection
Answer:
Step-by-step explanation:
Let the length and breadth of the rectangle be a,b units respectively.
Then the area will be ab square units.
Now if the length of the rectangle is reduced by 5 units and breadth is increased by 2 units then new length and breadth will be (a−5) units and (b+2) units.
Then new area will be (a−5)(b+2).
Then according to the problem,
(a−5)(b+2)−ab=−80
or, 2a−5b=−70.......(1).
Now if length of the rectangle is increased by 10 units and breadth is decreased by 5 units then new length and breadth will be (a+10) units and (b−5) units.
Then new area will be (a+10)(b−5).
Then according to the problem,
(a+10)(b−5)−ab=50
or, 10b−5a=100
or, 2b−a=20
or, 4b−2a=40......(2).
Now adding (1) and (2) we get
−b=−30
or, b=30.
Putting the value of b in (1) we get, a=40.
Now a+b=40+30=70.
Answer:
7 4/5
Step-by-step explanation:
2 1/10 + 5 7/10 = 2 + 5 + 1/10 + 7/10 = 7 8/10 = 7 4/5
3 < 5 if that is what you are contemplating
